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Transcription of this question: 12.[Maximum mark: 151Casualties arrive at an accident unit with a mean rate Of one every 10 minutes.Assume that the number Of arrivals can be modelled by a Poisson distribution.(a)(b)(c)(d)Find the probability that there are no arrivals in a given half hour period.A nurse works for a two hour period. Find the probability that there are fewerthan ten casualties during this period.Six nurses work consecutive two hour periods between Sam and 8pm.Find the probability that no more than three nurses have to attend to less than tencasualties during their working period.Calculate the time interval during which there is a 95 % chance of there being atleast two casualties.[3 marks][3 marks][4 marks][5 marks]

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